document.write( "Question 501744: A barrel of honey weighs 100 pounds. The same barrel with kerosene in it weighs 70 pounds. If honey is three time as heavy as kerosene, how much does the empty barrel weight? \n" ); document.write( "

Algebra.Com's Answer #338645 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"b\"$ = the weight of the barrel in pounds
\n" ); document.write( "given:
\n" ); document.write( " $\"+100+-+b+\"$ = weight of honey in pounds
\n" ); document.write( " $\"+70+-+b+\"$ = weight of kerosene in pounds
\n" ); document.write( "The barrel has the same volume in each weighing, so I can say
\n" ); document.write( " $\"+100+-+b+=+3%2A%2870+-+b%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+100+-+b+=+210+-+3b+\"$
\n" ); document.write( " $\"+2b+=+210+-+100+\"$
\n" ); document.write( " $\"+2b+=+110+\"$
\n" ); document.write( " $\"+b+=+55+\"$
\n" ); document.write( "The barrel weighs 55 pounds
\n" ); document.write( "check:
\n" ); document.write( " $\"+100+-+b+=+45+\"$ (weight of just the honey)
\n" ); document.write( " $\"+70+-+b+=+15+\"$ (weight of just the kerosene)
\n" ); document.write( " $\"+45+=+3%2A15+\"$
\n" ); document.write( " $\"+45+=+45+\"$
\n" ); document.write( "OK \n" ); document.write( "

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